Curve 3 of the figure shown has the following data table The Lagrange polynomial is El polinomio de Lagrange esSeleccione una:а.0.094202898550725x3 – 8.645652173913044x? + 630297101449275x – 2650.282608695649b.0.094202898550725x3 + 8.645652173913044x? + 630297101449275x + 2650.2826086956490.094202898550725x3 + 8.645652173913044x² + 630297101449275x – 2650.282608695649 La curva 3 de la figura mostrada tiene la siguiente tabla de datosХоX1X2X327.7282930F(x)4.14.34.13.0f(x)Slope -3Slope 3Slope -487Slope 15432Curve 1Curve 2Curve 3151015202530

Answered: La curva 3 de la figura mostrada tiene…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Question

Curve 3 of the figure shown has the following data table

The Lagrange polynomial is

El polinomio de Lagrange es
Seleccione una:
а.
0.094202898550725x3 – 8.645652173913044x? + 630297101449275x – 2650.282608695649
b.
0.094202898550725x3 + 8.645652173913044x? + 630297101449275x + 2650.282608695649
0.094202898550725x3 + 8.645652173913044x² + 630297101449275x – 2650.282608695649

La curva 3 de la figura mostrada tiene la siguiente tabla de datos
Хо
X1
X2
X3
27.7
28
29
30
F(x)4.1
4.3
4.1
3.0
f(x)
Slope -3
Slope 3
Slope -4
8
7
Slope 1
5
4
3
2
Curve 1
Curve 2
Curve 3
1
5
10
15
20
25
30

Expert Solution

Step 1: Formula used and given.

Formula: The Lagrange interpolation polynomial through the points $(x_{0}, y_{0}), (x_{1}, y_{1}), (x_{2}, y_{2}), (x_{3}, y_{3})$ is given by,

$f (x) = \frac{(x - x_{1}) (x - x_{2}) (x - x_{3})}{(x_{0} - x 1) (x_{0} - x_{2}) (x_{0} - x_{3})} \times y_{0} + \frac{(x - x_{0}) (x - x_{2}) (x - x_{3})}{(x_{1} - x_{0}) (x_{1} - x_{2}) (x_{1} - x_{3})} \times y_{1} + \frac{(x - x_{0}) (x - x_{1}) (x - x_{3})}{(x_{2} - x_{0}) (x_{2} - x_{1}) (x_{2} - x_{3})} \times y_{2} + \frac{(x - x_{0}) (x - x_{1}) (x - x_{2})}{(x_{3} - x_{0}) (x_{3} - x_{1}) (x_{3} - x_{2})} \times y_{3}$